Dice Cup

In many table-top games it is common to use different dice
to simulate random events. A “d” or “D” is
used to indicate a die with a specific number of faces,
d4 indicating a four-sided die, for example. If
several dice of the same type are to be rolled, this is
indicated by a leading number specifying the number of dice.
Hence, 2d6 means the player should roll two six-sided
dice and sum the result face values.

Task

Write a program to compute the most likely outcomes for the
sum of two dice rolls. Assume each die has numbered faces
starting at 1 and that each face has equal roll
probability.

Input

The input consists of a single line with two integer
numbers, $N, M$,
specifying the number of faces of the two dice.

Constraints

$4 \leq N,M\leq 20$
Number of faces.

Output

A line with the most likely outcome for the sum; in case of
several outcomes with the same probability, they must be listed
from lowest to highest value in separate lines.